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bekas [8.4K]
2 years ago
9

Find the area and perimeter of a rectangle. the length is x+6 the width is x+2

Mathematics
1 answer:
yarga [219]2 years ago
6 0

Answer:

<h2><u><em>Area = x² + 8x + 12</em></u></h2><h2><u><em>Perimeter = 4x + 16</em></u></h2>

Step-by-step explanation:

The area of a rectangle is given by the formula:

Area=width×height

The perimeter of a rectangle is given by the formula

Perimeter=2(width+height)

Area

(x + 6) × (x+2) =

x² + 2x + 6x + 12

x² + 8x + 12

------------------

Perimeter

2 × (x + 6 + x + 2) =

2 × (2x + 8) =

4x + 16

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using the LCD method.... well, there are a couple of ways, but let's simply add them up.

well, the denominators are 5x and 2x... so the only LCD will just be 10x, since it's divisible by both, so let's use that one.

\bf \cfrac{2}{5x}+\cfrac{7}{2x}=1\implies \stackrel{\textit{LCD of 10x}}{\cfrac{(2)2~~+~~(5)7}{10x}}=1\implies \cfrac{4+35}{10x}=1\implies \cfrac{39}{10x}=1 \\\\\\ 39=10x\implies \cfrac{39}{10}=x\implies 3\frac{9}{10}=x

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A number cube with six sides numbered 1 through 6 is rolled. the probability of rolling a 5 is 16 . what is the probability of n
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Given
P(1,-3); P'(-3,1)
Q(3,-2);Q'(-2,3)
R(3,-3);R'(-3,3)
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By observing the relationship between P and P', Q and Q',.... we note that
(x,y)->(y,x)  which corresponds to a single reflection about the line y=x.
Alternatively, the same result may be obtained by first reflecting about the x-axis, then a positive (clockwise) rotation of 90 degrees, as follows:
Sx(x,y)->(x,-y)    [ reflection about x-axis ]
R90(x,y)->(-y,x)    [ positive rotation of 90 degrees ]
combined or composite transformation
R90. Sx (x,y)-> R90(x,-y) -> (y,x)

Similarly similar composite transformation may be obtained by a reflection about the y-axis, followed by a rotation of -90 (or 270) degrees, as follows:
Sy(x,y)->(-x,y)
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=>
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